Timeline for (crystalline cohomology version's) Tate's conjecture for K3 surfaces
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 12, 2023 at 0:53 | history | edited | Yuan Yang | CC BY-SA 4.0 |
added 35 characters in body
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| Jun 10, 2023 at 1:29 | comment | added | Yuan Yang | I will regard that $\rho=22-2h$ is true. Because I couldn't find any reason that it is wrong. | |
| Jun 10, 2023 at 1:20 | comment | added | Yuan Yang | Which means that $\rho=22-2h$ is still right? Because the crystalline cohomology should have base change theorems | |
| Jun 10, 2023 at 0:59 | comment | added | Yuan Yang | Wait, but there are still problems: it seems we can always do a finite extension of $\mathbb{F}_{q^m}/\mathbb{F}_{q}$ such that the rank of $(H^2_{crys}(X/W(\mathbb{F}_q))\otimes W(\mathbb{F}_{q^m}))^{\Phi=p}$ has rank $22-2h$? | |
| Jun 10, 2023 at 0:52 | history | answered | Yuan Yang | CC BY-SA 4.0 |